find the exact values of the following, giving your answers as fractions.

Giving brainliest to the first person to get all right :)

Answer:p(x)=(x-1)(x-3)²

Step-by-step explanation:

The polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1.

Answer:

5

Step-by-step explanation:

cause 4 cups are in 1 quart

Answer:

20 cups would equal 5 quarts

Step-by-step explanation:

Answer:

3 c ( 5 a + 2 b − 1 )

Step-by-step explanation:

Answer:

[tex]15ac +6bc-3c[/tex]

Step-by-step explanation:

[tex]5a(3c)+2b(3c)-1(3c)[/tex]

Answer:

She realised $12 from selling 8 bags of caramel corn

Step-by-step explanation:

Given

(8, 12)

Required

Determine what it means based on the available information

A function is always written as (x,y)

Where x is dependent on y

By comparison,

x = bags of caramel corn = 8

y = amount realised = 12

Assuming the currency is in dollars

Conclusively,

She realised $12 from selling 8 bags of caramel corn.

Answer:

y=-2x+3/2 or y=-2x-3/2

Step-by-step explanation:

so the line starts at the negative 2 on the y-axis and -3 is on the x-axis then so you start at the -2 on the y-axis and go over and count how many times it goes over and then count how many times it goes down to the next dot.

Answer:

5.499 = h   likely if you used a better value for pi, it would be 5.5 = h

Step-by-step explanation:

Givens

V = 155.4

r = 3

pi = 3.14

Formula

V = pi*r^2*h   Solve for h

Solution

155.4 = 3.14 * 3^2 * h               3^2 = 9

155.4 = 3.14 * 9 * h                   Combine the right

155.4 = 28.26 * h                     Divide by 28.26

155.4/28.26 = 28.26*h/28.26

5.499 = h

By first identifying the critical points of this function by determining the first derivative, and then calculating the second derivative at the crucial points, you may determine the volume's maximum. The critical point is a maximum if the second derivative is negative.

When a cone and cylinder have comparable heights, the cylinder's volume is three times greater than a cone's volume. Determine the cone's volume. To the tenth of a cubic centimetre nearest, round.

Therefore, a cylinder with the same base radius and height has a volume that is equal to one-third that of a cone.Learn more about cylinder.

Learn more about cylinder here:

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Answer:

2:31 p.m.

Step-by-step explanation:

10:54 + 3 hours = 1:54 or 13:54

54 + 37 minutes = 91 which is 1 hour 31 minutes

1 hour + 1 hour + 31 minutes = 2:31 p.m.

Answer:

(3, 2)

Step-by-step explanation:

I am sure

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

Answer:

97 degress

Step-by-step explanation:

2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.

The measure of ∠3 is 97°.

If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.

Given two lines intersect and form angles

∠1, ∠2, ∠3, ∠4

and ∠2 = 83°

here ∠2 and ∠3 form supplementary angles,

them ∠2 + ∠3 = 180°

83 + ∠3 = 180

∠3 = 180 - 83

∠3 = 97°

Hence measure of ∠3 is 97°.

Learn more about supplementary angles;

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you can NOT assume points A, B, and F are collinear, since they could just be close together. also, they aren't all on a solid line, the line breaks halfway through.

also, the rest of the options could be proven by looking at the graph

hope this helps!! (sorry if i'm wrong, but i dont think i am)

Answer:

37.99

Step-by-step explanation:

Find the amount of tax

35.50 * 7%

Change to decimal form

35.50 *.07

2.485

Round to the nearest cent

2.49

Add this to the original cost

35.50+2.49

37.99

Answer:

x=3

Step-by-step explanation:

6(8−2x)=4x

Step 1: Simplify both sides of the equation.

6(8−2x)=4x

(6)(8)+(6)(−2x)=4x(Distribute)

48+−12x=4x

−12x+48=4x

Step 2: Subtract 4x from both sides.

−12x+48−4x=4x−4x

−16x+48=0

Step 3: Subtract 48 from both sides.

−16x+48−48=0−48

−16x=−48

Step 4: Divide both sides by -16.

−16x/−16=−48/−16

Answer:

2

Step-by-step explanation:

Only 1/5 of Miss Williams' class has a cell phone, so we work this out by dividing the number of students by 5

20÷5=4

Out of this group of 4 students, only 1/2 are allowed to use social media

4÷2=2

This means that only 2 pupils have a phone and are allowed to use social media at the same time.

If you need to express this in fraction form, it would be 1/10 of the class

Answer:

(-8,-5)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

simplify all them down and see what is least greatest to the highest amount

Answer:

I think the answer would be -1/2 or D.

Step-by-step explanation:

Use this formula for calculating slope : y2-y1 / x2 - x1                                                            

1. label the pairs, 1 and 2

(-6, 1)  - ( x1, y1 )          or        (4,-4) - (x1, y1)

(4,-4) - ( x2, y2)                      (-6,1) - (x2, y2)  

(the order does not matter)

2. Than plug in your numbers

y2-y1 / x2 -x1                 y2-y1 / x2 -x1

-4 - 1 / 4 - (-6)        or        1 - (-4) / -6 - 4

= -5/10 or -1/2               = - 5/-10 or -1/2

im only in eight grade so i did my best explaining , and this hope it helps :)

Answer:

y = 125x + 775

Step-by-step explanation:

you can make coordinate points (x, y) from the graph

x = Number of hours

y = Total Charge

(1, 800) and (2, 925)

slope from 2 points = y2-y1/x2-x1

x1 = 1

y1 = 800

x2 = 2

y2 = 925

925 - 800/2-1 = 125/1

m = 125

using y = mx + b, where m = 125,  and 1 of the coordinate points you can find the y intercept

multiply 125 times 2

925 = 250 + b

subtract 250 from both sides

b = 675

y = 125x + 675

Answer:

41

Step-by-step explanation:

Step 1:

7c + d          Equation

Step 2:

7 ( 5 ) + 6      Input c and d

Step 3:

35 + 6       Multiply

Answer:

41          Add

Hope This Helps :)

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

45 ÷ 5 = 9

So, 5 = 45 ÷ 9

Answer:

the answer is a

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

he can make 6 goodie bags

Step-by-step explanation:

Answer: 5x+4+2

Step-by-step explanation:

5x-1(-4+2)

multiply the -1 by the -4 and 2

5x+4+2

Answer:

$36.9735831

rounded: $36.97

Answer:

The answer is D: 42

Step-by-step explanation:

Angle 7 and angle 138 are supplementary and must add up to 180

Angle 7 is congruent to angle 6 through CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Angle 7 and 6 are corresponding angles

you must find angle 7 becasue Angle 7= Angle 6

angle 7=x

138-x=180

solve for equation you get

x=42

Angle 7 = 42

so that means that Angle 6 is 42